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Connectivity of inhomogeneous random graphs

✍ Scribed by Devroye, Luc; Fraiman, Nicolas


Book ID
126948987
Publisher
John Wiley and Sons
Year
2013
Tongue
English
Weight
140 KB
Volume
45
Category
Article
ISSN
1042-9832

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This paper concerns vertex connectivity in random graphs. We present results bounding the cardinality of the biggest k-block in random graphs of the G,~p model, for any constant value of k. Our results extend the work of Erd6s and R6nyi and Karp and Tarjan. We prove here that (~.~p, with [9 ~ tin, h